Well, if you get to remove Mario Kart cos you don't care about it, then I'm removing Animal Crossing, Melee, and Fire Emblem. :P
I don't agree with amp316 that GCN had the worst of all Nintendo series, (Metroid Prime, F Zero GX, and Twilight Princess were great) but I'd definitely say GCN has the weakest first party lineup of any Nintendo console as it has the worst of Zelda, 3D Mario, Starfox, and Mario Kart.
I dunno. I can't agree with the notion of Gamecube having the weakest first party lineup ever. For me there's plenty of quality first-party games in it that overshadow most of the other consoles; not only that, but they're still perfectly playable, which is something that can't be quite said of others.